Sample problem 2: Difference between revisions
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we rotate the system in the direction which is in the Z' axis, thus, <math>H=AL^2+(B^2+c^2)L_{z'}</math> where the angel between Z and Z' can be written | we rotate the system in the direction which is in the Z' axis, thus, <math>H=AL^2+(B^2+c^2)L_{z'}</math> where the angel between Z and Z' can be written | ||
we can have The eigen state with eigen value | we can have The eigen state with eigen value<math>E=Al(l+1)h^{2}+(B^2+C^2)^{1/2}m'h</math> | ||
Revision as of 01:02, 22 April 2010
Suppose the Hamiltonian of a rigid rotator in the magnetic field perpendicular to the axis is of the form(Merzbacher 1970, problem 17-1)
"if terms quadratic in the field are neglected. Assuming B, use Pertubation to the lowest nonvanishing order to get approximate energy eigenvalues
we rotate the system in the direction which is in the Z' axis, thus, where the angel between Z and Z' can be written we can have The eigen state with eigen value
